Point-slope form:
- formula used to find the equation of line given a point that the line
passes through, and the slope of the line
- derived from the slope formula
∆
o slope is =
∆
= ( −
)
o point-slope form is ∆ = ∙ ∆ or −
1
1
- (
) represent the point that the line passes through and
,
1
1
represents the slope of the line
Slope-intercept form:
- way of expressing the equation of a line by isolating the variable
and listing the slope of the line and its -intercept
- found by taking point-slope form and getting by itself
o = +
o this means expressing in terms of
- slope-intercept form can also be found directly by simply identifying
the slope of a line and its -intercept
To find the equation of a line, you need the following information:
- either one point that the line passes through and the slope of the line
o find the equation of the line using either slope-intercept form or
point-slope form
- or two points that the line passes through
o find the slope of the line using the two points
o use the slope and either point to find the equation of the line
using either slope-intercept form or point-slope form